{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 测量攀爬速度和转速之间的关系"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "l = (34.30 - 4.10 / 2) / 1e3\n",
    "D = 4.10 / 1e3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "w = np.array([0.633, 1.633, 2.673, 3.810, 4.670, 5.722, 6.74, 7.77, 8.94, 10.116, 11.09, \n",
    "            11.17, 11.89, 12.96, 14.09, 15.18, 15.53, 16.64, 17.40, 18.35, 19.35, 20.10])\n",
    "t = - np.array([\n",
    "    4.587 - 17.566,\n",
    "    2.103 - 7.985,\n",
    "    0.713 - 4.316,\n",
    "    0.884 - 3.264,\n",
    "    0.565 - 2.364,\n",
    "    0.502 - 2.175,\n",
    "    0.607 - 1.738,\n",
    "    0.799 - 1.815,\n",
    "    0.881 - 1.766,\n",
    "    0.604 - 1.482,\n",
    "    0.573 - 1.307,\n",
    "    0.566 - 1.432,\n",
    "    0.614 - 1.367,\n",
    "    2.539 - 3.302,\n",
    "    0.499 - 1.265,\n",
    "    1.667 - 2.250,\n",
    "    0.749 - 1.336,\n",
    "    1.041 - 1.541,\n",
    "    1.615 - 2.114,\n",
    "    0.980 - 1.591,\n",
    "    3.281 - 3.814,\n",
    "    1.098 - 1.684\n",
    "])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+iOVerzfmDyje+05ra7f02Lu1ammLPrzikfTYu7WaNX54j4ZgertOU6jTXajTXajTPZysMZH12n6p7fTp01VbW9th2Z/+9CeNGjXK7k31qr11p1Tvb+n0fUtSvb9Fe+tOmesUAAApwPbw8dBDD2n37t360Y9+pKNHj6qqqko/+9nPVFZWZvemelVjU+fBozvtAADoK2wPH9ddd53Wr1+vV155RePHj9fjjz+ulStXauHChXZvqlcNzcqwtR0AAH2F7XM+JOnb3/62vv3tbzux6qQxtWiw8nMy1OBviZhwKl2Y85GXk6GpRYNNdw0AgKTGs126KT3No/K5FybWXjqdNPS6fO7YHt/vAwAAtyF89MCc8flaffdk5eV0HFrJy8nQ6rsna874/F7qGQAAycuRYZe+ZM74fM0cm6e9dafU2NSioVkXhlo44wEAQHSEDxukp3lUPHpIb3cDAICUwLALAAAwivABAACMInwAAACjCB8AAMAowgcAADCK8AEAAIwifAAAAKMIHwAAwCjCBwAAMIrwAQAAjCJ8AAAAowgfAADAKMIHAAAwivABAACMInwAAACjCB8AAMAowgcAADCK8AEAAIwifAAAAKMIHwAAwCjCBwAAMIrwAQAAjCJ8AAAAowgfAADAKMIHAAAwivABAACMInwAAACjCB8AAMAowgcAADCK8AEAAIwifAAAAKMIHwAAwCjCBwAAMIrwAQAAjCJ8AAAAowgfAADAKMIHAAAwivABAACMInwAAACjHA8fTz/9tDwej5YuXer0pgAAQApwNHzs27dPL730kq655honNwMAAFKIY+HjzJkzWrhwoX7+859r0KBBTm0GAACkmMucWnFZWZluvvlmlZSU6Iknnui0XWtrq1pbW8OvA4GAJCkYDCoYDEa0Dy2L9p6bUKe7UKe7UKe79IU6TdSYyLo9lmVZdnfg1Vdf1ZNPPql9+/YpIyNDM2bM0KRJk7Ry5cqIthUVFaqsrIxYXlVVpczMTLu7BgAAHNDc3KwFCxbI7/crOzs7Zlvbw8dnn32ma6+9VtXV1eG5HrHCR7QzH4WFhTp58mTUzgeDQVVXV2vmzJnyer12dj2pUKe7UKe7UKe79IU6TdQYCASUm5vbpfBh+7DLgQMH1NjYqMmTJ4eXtbW1aceOHXrhhRfU2tqq9PT08Hs+n08+ny9iPV6vN+YPKN77bkGd7kKd7kKd7tIX6nSyxkTWa3v4uOmmm/Thhx92WHbvvfdqzJgxWr58eYfgAQAA+h7bw0dWVpbGjx/fYdmAAQM0ZMiQiOUAAKDv4Q6nAADAKMcutb3Ytm3bTGzGtdraLe2tO6XGphYNzcrQ1KLBSk/z9Ha3AADoFiPhA9236eMTeuzdWtX7W8LL8nMyVD53rOaMz+/FngEA0D0MuyS5h1471CF4SFKDv0WL19Vo4+H6XuoVAADdR/hIUm3tF26/Eu0mLKFllW9/FG4HAECqIHwkqQPHvoz5viWp3t+ivXWnzHQIAACbED6S1MkzrfEbSWpsaonfCACAJEL4SFK5l0fe9TWaoVkZDvcEAAB7ET6S1JRRgyRJnV1Q69GFq16mFg021icAAOxA+EhSF9/H49IAEnpdPncs9/sAAKQcwkeS+8kdk5SX03FoJS8nQ6vvnsx9PgAAKYmbjCW5kquHadb44dzhFADgGoSPFJCe5lHx6CG93Q0AAGzBsAsAADCK8AEAAIwifAAAAKMIHwAAwCjCBwAAMIrwAQAAjCJ8AAAAowgfAADAKMIHAAAwivABAACMInwAAACjCB8AAMAowgcAADCK8AEAAIwifAAAAKMIHwAAwCjCBwAAMIrwAQAAjCJ8AAAAowgfAADAKMIHAAAw6rLe7gCSR1u7pb11p9TY1KKhWRmaWjRY6Wme3u4WAMBlCB+QJG08XK/Ktz9Svb8lvCw/J0Plc8dqzvj8XuwZAMBtGHaBNh6u1+J1NR2ChyQ1+Fu0eF2NNh6u76WeAQDciPDRx7W1W6p8+yNZUd4LLat8+yO1tUdrAQBA4ggffdzeulMRZzwuZkmq97dob90pc50CALga4aOPa2zqPHh0px0AAPEQPvq4oVkZtrYDACAewkcfN7VosPJzMtTZBbUeXbjqZWrRYJPdAgC4GOGjj0tP86h87lhJigggodflc8dyvw8AgG0IH9Cc8flaffdk5eV0HFrJy8nQ6rsnc58PAICtuMkYJF0IIDPH5nGHUwCA42w/8/HUU0/puuuuU1ZWloYOHar58+ertrbW7s3AAelpHhWPHqJ5k4arePQQggcAwBG2h4/t27errKxMu3fvVnV1tYLBoGbNmqWzZ8/avSkAAJCCbB922bhxY4fXa9eu1dChQ3XgwAF961vfsntzAAAgxTg+58Pv90uSBg+Ofqlma2urWltbw68DgYAkKRgMKhgMRrQPLYv2nptQp7tQp7tQp7v0hTpN1JjIuj2WZTn20I729nbdcsstOn36tD744IOobSoqKlRZWRmxvKqqSpmZmU51DQAA2Ki5uVkLFiyQ3+9XdnZ2zLaOho/Fixfrvffe0wcffKARI0ZEbRPtzEdhYaFOnjwZtfPBYFDV1dWaOXOmvF6vU13vdale56aPT+jp9/6ohsBfb8uel52hh0vHqOTqYeFlqV5nV1Gnu1Cnu/SFOk3UGAgElJub26Xw4diwy5IlS/TOO+9ox44dnQYPSfL5fPL5fBHLvV5vzB9QvPfdIhXr3Hi4Xg9U/f4vT8X96xUzn37Zqgeqfh/13iGpWGd3UKe7UKe79IU6nawxkfXafrWLZVlasmSJ1q9fry1btqioqMjuTSCJtbVbqnz7I0U7nRZaVvn2R2prd+yEGwAgydl+5qOsrExVVVV68803lZWVpYaGBklSTk6O+vfvb/fmkGT21p1Svb/zJ+Bakur9Ldpbd0rFo4f0eHtt7RY3RgOAFGN7+Fi9erUkacaMGR2Wr1mzRvfcc4/dm0OSaWzqPHh0p10sGw/Xq/LtjzqEnfycDJXPHcst4QEgidkePhycv4oUMDQrI36jBNp1ZuPhei1eVxMxvNPgb9HidTU8kwYAkhgPloOtphYNVn5ORsQTckM8unB2YmpR9Pu+dAXzSgAgtRE+YKv0NI/K546VpIgAEnpdPndsj+ZlJDKvBACQfAgfsN2c8flaffdk5eV0HFrJy8mwZTjE5LwSAID9HL+9OvqmOePzNXNsniNXopiaVwIAcAbhA45JT/PYcjntpULzShr8LVHnfXh04SxLT+aVAACcw7ALUo6JeSUAAOcQPpCSnJ5XAgBwDsMuSFlOzisBADiH8IGU5tS8EgCAcxh2AQAARhE+AACAUQy7AJ3gibkA4AzCBxAFT8wFAOcw7AJcIvTE3EufHxN6Yu7Gw/W91DMAcAfCB3ARnpgLAM4jfAAXMfnE3LZ2S7s++UJvHvqzdn3yBYEGQJ/BnA/gIqaemMucEgB9GWc+gIuYeGIuc0oA9HWED+AioSfmdnZBrUcXzlB094m5vTWnxPQQD0NKAGJh2AW4SOiJuYvX1cgjdQgJdjwx98CxL7s8p8Su28b3xhDP7JU7dOzLVse2xz1YgNTGmQ/gEk4+Mffkmdb4jdTzOSUhpod4Nn184sL6A85tb+Phen3jmS266+e79eCrh3TXz3frG89sYbgKSCGc+QCicOqJubmX+7rUridzSkLiDfF4dGGIZ+bYPFvOGrS1W3r6vT9q2RjnthcKU5fWFAo3PQ2HdjJ5doYzQUg1hA+gE048MXfKqEHKz8lQg78laijw6MIZlu7OKblYIpcN21Hn3rpTEWc87NxeW7ulirfsC1NOHrBNDnVx5RRSEcMugEGhOSWSIia12jGn5GKmLhs2tb0XthzpcriJx8mhG5NDXVw5hVRF+AAMc3JOycVMXDZsansbD9frJ5uOdKltvHDj5AHb5NVM3I0XqYxhF6AXODWn5GKhy4ZNDPGEtpeXnSHpbNT3u7u90EG2q2KFG6fnwZgc6jI9rIb4mHvTdYQPoJc4Mafk0vU7edlwtO09XDpG5+sO2DqkFO8ge7F492Bx+oBtcqjL9LBavANrXz/wpsrcm7Z2S/s/+aLX9xPhA3Cx0BDPpf8o5jn0j2LJ1cP0mzppWHZGh/t89GR7iRw844Ubpw/YJoe6TG5r08cn9Ni7tZ0eWFPlwOuUVLoKy+l78HQV4QNwORNDPJd6f+m3dPDzJlu219WD50MlV8b9B9TpA7bJoS6T23rotUNqaeu4/0IH1vu/VaSf7agzduC14wzLpev4+oisHvXHxCXtPa274z14/vq53gpIhA+gD3B6iMfJ7cU7yEpSXrZPS278fz1eV08P2CaHukxsKzRZNdak1p//NjJ4hN63+14ydpxhibaOUYN8Ue9P0xUm5t70tG4T9+BJFFe7AEhq8S5P9kiquGVcl/7RNHGps6mrmUxs68CxL+O2iXUxTSKXP8djx1VKna3jxF8u4Q6dHUiE00N5dtSdyD14TOHMB4CkZ+fcFRPzYEwOdTm5ra4+DiCenk56tWNooyuXJj/93h81a/zwhH52Tg7l2TWkY3pyclcQPgCkBDsPsibCgcmhLqe2lXu5TydtWE9PJ73aMbTRlaumGgKJD484OZRn15CO6Xv+dAXhA0DKsPMga3oeTCqaMmqQ3v84cojqYmkeybKizwuxa9KrHX+5O/XXv5Nzb+zqs1P34OkJ5nwAAKK6+IDZ2Xyb+75Z1On7kj0TbO34y93Jv/6dmntjV59D9+CRnH+sQ1dx5gMAENNP7pgUcZ+Pi+fIfH3kIEfn0NgxtNG1q6a6/9e/E0N5dg7pOHEPnp4gfAAAYiq5ephmjR/e6YHV6Tk0dgxtdGUdD5eO6VGf7R7Kc2JIx8578PQE4QMAEFe8A6vTc2jsuEqps3UM+8t8iJKrhznR9R6x++qsZJnrRPgAAKQEO86wRFvH10dk6f2N7znY857pjbsUO43wAQBIGXb85X7pOoLBYE+75bhkOWNhF652AQAARhE+AACAUYQPAABglGPhY9WqVbriiiuUkZGhadOmae/evU5tCgAApBBHwsdrr72mZcuWqby8XDU1NZo4caJmz56txsZGJzYHAABSiCPh47nnntN9992ne++9V2PHjtWLL76ozMxMvfzyy05sDgAApBDbL7U9f/68Dhw4oEceeSS8LC0tTSUlJdq1a1dE+9bWVrW2/vVWr4FAQNKFS5+iXf4UWpYKl0b1BHW6C3W6C3W6S1+o00SNiazbY1lWZ7e575bjx49r+PDh2rlzp4qLi8PLf/jDH2r79u3as2dPh/YVFRWqrKyMWE9VVZUyMzPt7BoAAHBIc3OzFixYIL/fr+zs7Jhte/0mY4888oiWLVsWfh0IBFRYWKhZs2ZF7XwwGFR1dbVmzpwpr9drsqtGUae7UKe7UKe79IU6TdQYGrnoCtvDR25urtLT03XixIkOy0+cOKG8vLyI9j6fTz6fL/w6dCLm3LlzUX9AwWBQzc3NOnfunP7v//7P5t4nD+p0F+p0F+p0l75Qp4kaz507J+mvx/FYbA8f/fr105QpU7R582bNnz9fktTe3q7NmzdryZIlcT/f1NQkSSosLLS7awAAwGFNTU3KycmJ2caRYZdly5Zp0aJFuvbaazV16lStXLlSZ8+e1b333hv3swUFBfrss8+UlZUljyfyoTmhYZnPPvss7phSKqNOd6FOd6FOd+kLdZqo0bIsNTU1qaCgIG5bR8LHHXfcof/93//Vo48+qoaGBk2aNEkbN27UsGHxH1eclpamESNGxG2XnZ3t2l+Si1Gnu1Cnu1Cnu/SFOp2uMd4ZjxDHJpwuWbKkS8MsAACgb+HZLgAAwKiUCx8+n0/l5eUdrpBxI+p0F+p0F+p0l75QZ7LVaPtNxgAAAGJJuTMfAAAgtRE+AACAUYQPAABgFOEDAAAYlZThY9WqVbriiiuUkZGhadOmae/evTHbv/766xozZowyMjI0YcIE/eY3vzHU0+556qmndN111ykrK0tDhw7V/PnzVVtbG/Mza9eulcfj6fBfRkaGoR53T0VFRUSfx4wZE/MzqbYvJemKK66IqNPj8aisrCxq+1TZlzt27NDcuXNVUFAgj8ejDRs2dHjfsiw9+uijys/PV//+/VVSUqIjR47EXW+i32+nxaozGAxq+fLlmjBhggYMGKCCggJ95zvf0fHjx2Ouszu/+06Ltz/vueeeiD7PmTMn7npTaX9Kivpd9Xg8evbZZztdZ7Ltz64cQ1paWlRWVqYhQ4bo8ssv16233hrxzLVLdfc73R1JFz5ee+01LVu2TOXl5aqpqdHEiRM1e/ZsNTY2Rm2/c+dO3XXXXfre976ngwcPav78+Zo/f74OHz5suOddt337dpWVlWn37t2qrq5WMBjUrFmzdPbs2Zify87OVn19ffi/Y8eOGepx940bN65Dnz/44INO26bivpSkffv2daixurpaknTbbbd1+plU2Jdnz57VxIkTtWrVqqjv//jHP9ZPf/pTvfjii9qzZ48GDBig2bNnq6WlpdN1Jvr9NiFWnc3NzaqpqdGKFStUU1OjN954Q7W1tbrlllvirjeR330T4u1PSZozZ06HPr/yyisx15lq+1NSh/rq6+v18ssvy+Px6NZbb4253mTan105hjz00EN6++239frrr2v79u06fvy4/v7v/z7mervzne42K8lMnTrVKisrC79ua2uzCgoKrKeeeipq+9tvv926+eabOyybNm2a9f3vf9/RftqpsbHRkmRt37690zZr1qyxcnJyzHXKBuXl5dbEiRO73N4N+9KyLOvBBx+0Ro8ebbW3t0d9PxX3pSRr/fr14dft7e1WXl6e9eyzz4aXnT592vL5fNYrr7zS6XoS/X6bdmmd0ezdu9eSZB07dqzTNon+7psWrc5FixZZ8+bNS2g9btif8+bNs2688caYbZJ9f156DDl9+rTl9Xqt119/Pdzm448/tiRZu3btirqO7n6nuyupznycP39eBw4cUElJSXhZWlqaSkpKtGvXrqif2bVrV4f2kjR79uxO2ycjv98vSRo8eHDMdmfOnNGoUaNUWFioefPm6Q9/+IOJ7vXIkSNHVFBQoK9+9atauHChPv30007bumFfnj9/XuvWrdN3v/vdqA9GDEnFfXmxuro6NTQ0dNhfOTk5mjZtWqf7qzvf72Tk9/vl8Xg0cODAmO0S+d1PFtu2bdPQoUN11VVXafHixfriiy86beuG/XnixAm9++67+t73vhe3bTLvz0uPIQcOHFAwGOywb8aMGaORI0d2um+6853uiaQKHydPnlRbW1vEA+iGDRumhoaGqJ9paGhIqH2yaW9v19KlSzV9+nSNHz++03ZXXXWVXn75Zb355ptat26d2tvbdf311+vzzz832NvETJs2TWvXrtXGjRu1evVq1dXV6Zvf/Kaampqitk/1fSlJGzZs0OnTp3XPPfd02iYV9+WlQvskkf3Vne93smlpadHy5ct11113xXw4V6K/+8lgzpw5+tWvfqXNmzfrmWee0fbt21VaWqq2trao7d2wP3/5y18qKysr7nBEMu/PaMeQhoYG9evXLyIgxzuWhtp09TM94diD5dA1ZWVlOnz4cNzxw+LiYhUXF4dfX3/99br66qv10ksv6fHHH3e6m91SWloa/v9rrrlG06ZN06hRo/TrX/+6S39ppKJf/OIXKi0tjflI6VTcl7gw+fT222+XZVlavXp1zLap+Lt/5513hv9/woQJuuaaazR69Ght27ZNN910Uy/2zDkvv/yyFi5cGHfCdzLvz64eQ5JNUp35yM3NVXp6esSM3BMnTigvLy/qZ/Ly8hJqn0yWLFmid955R1u3btWIESMS+qzX69XXv/51HT161KHe2W/gwIG68sorO+1zKu9LSTp27Jg2bdqkf/qnf0roc6m4L0P7JJH91Z3vd7IIBY9jx46puro64UeSx/vdT0Zf/epXlZub22mfU3l/StJvf/tb1dbWJvx9lZJnf3Z2DMnLy9P58+d1+vTpDu3jHUtDbbr6mZ5IqvDRr18/TZkyRZs3bw4va29v1+bNmzv8pXix4uLiDu0lqbq6utP2ycCyLC1ZskTr16/Xli1bVFRUlPA62tra9OGHHyo/P9+BHjrjzJkz+uSTTzrtcyruy4utWbNGQ4cO1c0335zQ51JxXxYVFSkvL6/D/goEAtqzZ0+n+6s73+9kEAoeR44c0aZNmzRkyJCE1xHvdz8Zff755/riiy867XOq7s+QX/ziF5oyZYomTpyY8Gd7e3/GO4ZMmTJFXq+3w76pra3Vp59+2um+6c53uqdFJJVXX33V8vl81tq1a62PPvrIuv/++62BAwdaDQ0NlmVZ1j/+4z9aDz/8cLj97373O+uyyy6z/uM//sP6+OOPrfLycsvr9Voffvhhb5UQ1+LFi62cnBxr27ZtVn19ffi/5ubmcJtL66ysrLTef/9965NPPrEOHDhg3XnnnVZGRob1hz/8oTdK6JJ/+Zd/sbZt22bV1dVZv/vd76ySkhIrNzfXamxstCzLHfsypK2tzRo5cqS1fPnyiPdSdV82NTVZBw8etA4ePGhJsp577jnr4MGD4as8nn76aWvgwIHWm2++af3P//yPNW/ePKuoqMg6d+5ceB033nij9fzzz4dfx/t+94ZYdZ4/f9665ZZbrBEjRliHDh3q8H1tbW0Nr+PSOuP97veGWHU2NTVZ//qv/2rt2rXLqqurszZt2mRNnjzZ+trXvma1tLSE15Hq+zPE7/dbmZmZ1urVq6OuI9n3Z1eOIf/8z/9sjRw50tqyZYu1f/9+q7i42CouLu6wnquuusp64403wq+78p22S9KFD8uyrOeff94aOXKk1a9fP2vq1KnW7t27w+/9zd/8jbVo0aIO7X/9619bV155pdWvXz9r3Lhx1rvvvmu4x4mRFPW/NWvWhNtcWufSpUvDP5Nhw4ZZf/u3f2vV1NSY73wC7rjjDis/P9/q16+fNXz4cOuOO+6wjh49Gn7fDfsy5P3337ckWbW1tRHvpeq+3Lp1a9Tf01At7e3t1ooVK6xhw4ZZPp/PuummmyLqHzVqlFVeXt5hWazvd2+IVWddXV2n39etW7eG13FpnfF+93tDrDqbm5utWbNmWV/5ylcsr9drjRo1yrrvvvsiQkSq78+Ql156yerfv791+vTpqOtI9v3ZlWPIuXPnrAceeMAaNGiQlZmZaf3d3/2dVV9fH7Geiz/Tle+0XTx/6QAAAIARSTXnAwAAuB/hAwAAGEX4AAAARhE+AACAUYQPAABgFOEDAAAYRfgAAABGET4AAIBRhA8AAGAU4QMAABhF+AAAAEYRPgAAgFH/H1F+Gq5ylrRcAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(w, t)\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "v = l / t\n",
    "plt.scatter(w, v)\n",
    "# plt.plot(w, v)\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 520x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(5.2, 4))\n",
    "ax1 = fig.add_axes([0.1, 0.1, 0.8, 0.8])\n",
    "ax1.scatter(w, t)\n",
    "plt.grid()\n",
    "plt.title(\"t - n curve\")\n",
    "plt.xlabel(\"n / s⁻¹\")\n",
    "plt.ylabel(\"t / s\")\n",
    "\n",
    "ax2 = fig.add_axes([1.1, 0.1, 0.8, 0.8])\n",
    "ax2.scatter(w, v)\n",
    "plt.grid()\n",
    "plt.title(\"v - n curve\")\n",
    "plt.xlabel(\"n / s⁻¹\")\n",
    "plt.ylabel(\"v / m∙s⁻¹\")\n",
    "plt.ylim(0, 0.1)\n",
    "ax2.legend([\"D = 4.10 mm\\nd = 2.8 mm\\nl = (34.30 - D) mm\"])\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "coefficient = np.polyfit(w, v, 1)\n",
    "test_v = w * coefficient[0] + coefficient[1]\n",
    "coefficient_ = np.polyfit(w[:14], v[:14], 1)\n",
    "test_v_ = w * coefficient_[0] + coefficient_[1]\n",
    "w_former = np.linspace(0, w[0], 3)\n",
    "test_v_former = w_former * coefficient_[0] + coefficient_[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(6, 4))\n",
    "ax1 = fig.add_axes([0.1, 0.1, 0.8, 0.8])\n",
    "ax1.scatter(w, t)\n",
    "plt.grid()\n",
    "plt.title(\"t - n curve\")\n",
    "plt.xlabel(\"n / s⁻¹\")\n",
    "plt.ylabel(\"t / s\")\n",
    "\n",
    "ax2 = fig.add_axes([1.1, 0.1, 0.8, 0.8])\n",
    "ax2.scatter(w, v)\n",
    "ax2.plot(w, test_v, color='y')\n",
    "ax2.plot(w, test_v_, color='r')\n",
    "ax2.plot(w_former, test_v_former, 'r:')\n",
    "plt.grid()\n",
    "plt.title(\"v - n curve\")\n",
    "plt.xlabel(\"n / s⁻¹\")\n",
    "plt.ylabel(\"v / m∙s⁻¹\")\n",
    "ax2.legend([\"data\", \"fit1\", \"fit2\"])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 重力矩"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_m = np.array([5, 7, 8, 9, 10, 11])\n",
    "\n",
    "t_m = - np.array([\n",
    "    1.098 - 4.066,\n",
    "    0.787 - 3.666,\n",
    "    1.399 - 3.032,\n",
    "    0.783 - 2.016,\n",
    "    0.816 - 2.099,\n",
    "    0.914 - 3.953\n",
    "])\n",
    "\n",
    "l = (34.3 - 3.74) / 1e3\n",
    "\n",
    "n_no = [1, 2, 3, 4, 6, 12]\n",
    "v_no = [0, 0, 0, 0, 0, 0]\n",
    "\n",
    "v_m = l / t_m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(n_m, v_m)\n",
    "plt.grid()\n",
    "plt.title(\"v - m curve\")\n",
    "plt.xlabel(\"m / x 0.36 g\")\n",
    "plt.ylabel(\"v / m∙s⁻¹\")\n",
    "plt.scatter(n_no, v_no, c='r', marker='x')\n",
    "plt.legend([\"D = 3.74 mm\\nd = 2.8 mm\\nl = (34.3 - D) mm\", \"useless data\"])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "pytorch",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
